Question

A trapezoid has a height of 3 meters, a base length of 8 meters, and an area of 30 square meters. What is the length of the base?

Answer 1

Length of the second base will be 12 meters.

Explanation:

Area of a trapezoid is given by the formula,

Area =
`(1)/(2)(b_1+b_2)h`

Here, b₁ and b₂ are the bases of the trapezoid and 'h' is the vertical distance between the bases.

By substituting the values in the formula,

`30=(1)/(2)(8+b_2)3`

`60=3(8+b_2)`

`20=8+b_2`

`b_2=12`

Therefore, length of the second base will be 12 meters.